49981225236480 has 768 divisors, whose sum is σ = 187433326080000. Its totient is φ = 12598835281920.

The previous prime is 49981225236431. The next prime is 49981225236487. The reversal of 49981225236480 is 8463252218994.

49981225236480 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 1 + 22 + 523 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×49981225236480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49981225236487) 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, 2421678001 + ... + 2421698639.

It is an arithmetic number, because the mean of its divisors is an integer number (244053810000).

Almost surely, 2^{49981225236480} is an apocalyptic number.

49981225236480 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 49981225236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93716663040000).

49981225236480 is an abundant number, since it is smaller than the sum of its proper divisors (137452100843520).

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

49981225236480 is a wasteful number, since it uses less digits than its factorization.

49981225236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21155 (or 21129 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 49981225236480 in words is "forty-nine trillion, nine hundred eighty-one billion, two hundred twenty-five million, two hundred thirty-six thousand, four hundred eighty".