61435444453416 has 192 divisors, whose sum is σ = 189838364385600. Its totient is φ = 18392501888640.

The previous prime is 61435444453381. The next prime is 61435444453421.

61435444453416 is a `hidden beast` number, since 6 + 1 + 4 + 3 + 54 + 4 + 44 + 534 + 16 = 666.

61435444453416 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11990991 + ... + 16329566.

It is an arithmetic number, because the mean of its divisors is an integer number (988741481175).

Almost surely, 2^{61435444453416} is an apocalyptic number.

61435444453416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61435444453416 is an abundant number, since it is smaller than the sum of its proper divisors (128402919932184).

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

61435444453416 is a wasteful number, since it uses less digits than its factorization.

61435444453416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28320677 (or 28320656 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 61435444453416 in words is "sixty-one trillion, four hundred thirty-five billion, four hundred forty-four million, four hundred fifty-three thousand, four hundred sixteen".