61901836416 has 576 divisors, whose sum is σ = 222487826400. Its totient is φ = 16892789760.

The previous prime is 61901836333. The next prime is 61901836463. The reversal of 61901836416 is 61463810916.

61901836416 is a `hidden beast` number, since 6 + 190 + 18 + 36 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89582631 + ... + 89583321.

Almost surely, 2^61901836416 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 61901836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111243913200).

61901836416 is an abundant number, since it is smaller than the sum of its proper divisors (160585989984).

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

61901836416 is a wasteful number, since it uses less digits than its factorization.

61901836416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 61901836416 in words is "sixty-one billion, nine hundred one million, eight hundred thirty-six thousand, four hundred sixteen".