48616049664 has 1056 divisors, whose sum is σ = 190270778880. Its totient is φ = 12039487488.

The previous prime is 48616049663. The next prime is 48616049687. The reversal of 48616049664 is 46694061684.

It is a happy number.

48616049664 is a `hidden beast` number, since 4 + 86 + 16 + 0 + 496 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48616049664.

It is not an unprimeable number, because it can be changed into a prime (48616049663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430230472 + ... + 430230584.

Almost surely, 2^48616049664 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 48616049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135389440).

48616049664 is an abundant number, since it is smaller than the sum of its proper divisors (141654729216).

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

48616049664 is a wasteful number, since it uses less digits than its factorization.

48616049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

It can be divided in two parts, 486160 and 49664, that added together give a square (535824 = 732²).

The spelling of 48616049664 in words is "forty-eight billion, six hundred sixteen million, forty-nine thousand, six hundred sixty-four".