48081931900416 has 240 divisors, whose sum is σ = 146622507215184. Its totient is φ = 15724906389504.

The previous prime is 48081931900381. The next prime is 48081931900433. The reversal of 48081931900416 is 61400913918084.

48081931900416 is a `hidden beast` number, since 480 + 8 + 1 + 9 + 31 + 90 + 0 + 41 + 6 = 666.

It is a super-3 number, since 3×48081931900416³ (a number of 42 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 2948190 + ... + 10239906.

Almost surely, 2^{48081931900416} 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 48081931900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73311253607592).

48081931900416 is an abundant number, since it is smaller than the sum of its proper divisors (98540575314768).

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

48081931900416 is an frugal number, since it uses more digits than its factorization.

48081931900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7291803 (or 7291775 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 48081931900416 in words is "forty-eight trillion, eighty-one billion, nine hundred thirty-one million, nine hundred thousand, four hundred sixteen".