49918624656480 has 384 divisors, whose sum is σ = 177733172453760. Its totient is φ = 13083616051200.

The previous prime is 49918624656473. The next prime is 49918624656487. The reversal of 49918624656480 is 8465642681994.

49918624656480 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 86 + 2 + 4 + 65 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (49918624656473) and next prime (49918624656487).

It is a super-3 number, since 3×49918624656480³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49918624656399 and 49918624656408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49918624656487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59358292 + ... + 60193388.

It is an arithmetic number, because the mean of its divisors is an integer number (462846803265).

Almost surely, 2^{49918624656480} is an apocalyptic number.

49918624656480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49918624656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88866586226880).

49918624656480 is an abundant number, since it is smaller than the sum of its proper divisors (127814547797280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49918624656480 is a wasteful number, since it uses less digits than its factorization.

49918624656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835359 (or 835345 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 49918624656480 in words is "forty-nine trillion, nine hundred eighteen billion, six hundred twenty-four million, six hundred fifty-six thousand, four hundred eighty".