61905662401 has 16 divisors (see below), whose sum is σ = 71516027520. Its totient is φ = 52959988480.

The previous prime is 61905662359. The next prime is 61905662417. The reversal of 61905662401 is 10426650916.

It is a happy number.

It is not a de Polignac number, because 61905662401 - 2¹⁵ = 61905629633 is a prime.

It is a super-2 number, since 2×61905662401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61905662101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1628115 + ... + 1665703.

It is an arithmetic number, because the mean of its divisors is an integer number (4469751720).

Almost surely, 2^61905662401 is an apocalyptic number.

It is an amenable number.

61905662401 is a deficient number, since it is larger than the sum of its proper divisors (9610365119).

61905662401 is a wasteful number, since it uses less digits than its factorization.

61905662401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46424.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 61905662401 in words is "sixty-one billion, nine hundred five million, six hundred sixty-two thousand, four hundred one".