61456157048832 has 2176 divisors, whose sum is σ = 226205611720704. Its totient is φ = 14383174385664.

The previous prime is 61456157048779. The next prime is 61456157048833. The reversal of 61456157048832 is 23884075165416.

It is a tau number, because it is divible by the number of its divisors (2176).

It is a super-3 number, since 3×61456157048832³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61456157048833) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483906748353 + ... + 483906748479.

Almost surely, 2^{61456157048832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61456157048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113102805860352).

61456157048832 is an abundant number, since it is smaller than the sum of its proper divisors (164749454671872).

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

61456157048832 is a wasteful number, since it uses less digits than its factorization.

61456157048832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 61456157048832 in words is "sixty-one trillion, four hundred fifty-six billion, one hundred fifty-seven million, forty-eight thousand, eight hundred thirty-two".