48954580416 has 840 divisors, whose sum is σ = 181546475616. Its totient is φ = 12765081600.

The previous prime is 48954580373. The next prime is 48954580421. The reversal of 48954580416 is 61408545984.

48954580416 is a `hidden beast` number, since 4 + 8 + 9 + 54 + 580 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×48954580416² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 484698766 + ... + 484698866.

Almost surely, 2^48954580416 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 48954580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90773237808).

48954580416 is an abundant number, since it is smaller than the sum of its proper divisors (132591895200).

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

48954580416 is a wasteful number, since it uses less digits than its factorization.

48954580416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 48954580416 in words is "forty-eight billion, nine hundred fifty-four million, five hundred eighty thousand, four hundred sixteen".