61493154748400 has 120 divisors (see below), whose sum is σ = 151124514068304. Its totient is φ = 24037012480000.

The previous prime is 61493154748393. The next prime is 61493154748411. The reversal of 61493154748400 is 484745139416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456929 + ... + 11099328.

Almost surely, 2^{61493154748400} 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 61493154748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75562257034152).

61493154748400 is an abundant number, since it is smaller than the sum of its proper divisors (89631359319904).

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

61493154748400 is a wasteful number, since it uses less digits than its factorization.

61493154748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11556579 (or 11556568 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 61493154748400 in words is "sixty-one trillion, four hundred ninety-three billion, one hundred fifty-four million, seven hundred forty-eight thousand, four hundred".