61508201616 has 120 divisors (see below), whose sum is σ = 177786113024. Its totient is φ = 19830666240.

The previous prime is 61508201593. The next prime is 61508201633. The reversal of 61508201616 is 61610280516.

61508201616 is a `hidden beast` number, since 6 + 15 + 0 + 8 + 20 + 1 + 616 = 666.

It is a super-2 number, since 2×61508201616² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16501545 + ... + 16505271.

Almost surely, 2^61508201616 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 61508201616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88893056512).

61508201616 is an abundant number, since it is smaller than the sum of its proper divisors (116277911408).

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

61508201616 is a wasteful number, since it uses less digits than its factorization.

61508201616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 61508201616 in words is "sixty-one billion, five hundred eight million, two hundred one thousand, six hundred sixteen".