49146612480 has 432 divisors, whose sum is σ = 195578423040. Its totient is φ = 11161608192.

The previous prime is 49146612479. The next prime is 49146612517. The reversal of 49146612480 is 8421664194.

49146612480 is a `hidden beast` number, since 4 + 91 + 466 + 1 + 24 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13142451 + ... + 13146189.

Almost surely, 2^49146612480 is an apocalyptic number.

49146612480 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 49146612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97789211520).

49146612480 is an abundant number, since it is smaller than the sum of its proper divisors (146431810560).

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

49146612480 is a wasteful number, since it uses less digits than its factorization.

49146612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 49146612480 in words is "forty-nine billion, one hundred forty-six million, six hundred twelve thousand, four hundred eighty".