48890378996928 has 672 divisors, whose sum is σ = 171798928537600. Its totient is φ = 13777218201600.

The previous prime is 48890378996911. The next prime is 48890378996941. The reversal of 48890378996928 is 82969987309884.

It is a happy number.

48890378996928 is a `hidden beast` number, since 4 + 8 + 8 + 90 + 378 + 99 + 69 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×48890378996928² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389343753 + ... + 389469303.

Almost surely, 2^{48890378996928} is an apocalyptic number.

48890378996928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48890378996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85899464268800).

48890378996928 is an abundant number, since it is smaller than the sum of its proper divisors (122908549540672).

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

48890378996928 is an equidigital number, since it uses as much as digits as its factorization.

48890378996928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125672 (or 125636 counting only the distinct ones).

The product of its (nonzero) digits is 27088846848, while the sum is 90.

The spelling of 48890378996928 in words is "forty-eight trillion, eight hundred ninety billion, three hundred seventy-eight million, nine hundred ninety-six thousand, nine hundred twenty-eight".