61254544545216 has 112 divisors (see below), whose sum is σ = 196447655546880. Its totient is φ = 18561983189760.

The previous prime is 61254544545199. The next prime is 61254544545253.

61254544545216 is a `hidden beast` number, since 6 + 1 + 2 + 5 + 45 + 44 + 545 + 2 + 16 = 666.

61254544545216 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611264256 + ... + 1611302271.

Almost surely, 2^{61254544545216} is an apocalyptic number.

61254544545216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61254544545216 is an abundant number, since it is smaller than the sum of its proper divisors (135193111001664).

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

61254544545216 is a wasteful number, since it uses less digits than its factorization.

61254544545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222566559 (or 3222566543 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 61254544545216 in words is "sixty-one trillion, two hundred fifty-four billion, five hundred forty-four million, five hundred forty-five thousand, two hundred sixteen".