48930228264960 has 4480 divisors, whose sum is σ = 225321034752000. Its totient is φ = 10113169489920.

The previous prime is 48930228264949. The next prime is 48930228264971. The reversal of 48930228264960 is 6946282203984.

48930228264960 is a `hidden beast` number, since 4 + 8 + 9 + 302 + 2 + 8 + 264 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (48930228264949) and next prime (48930228264971).

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×48930228264960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 670277099484 + ... + 670277099556.

Almost surely, 2^{48930228264960} is an apocalyptic number.

48930228264960 is a gapful number since it is divisible by the number (40) 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 48930228264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112660517376000).

48930228264960 is an abundant number, since it is smaller than the sum of its proper divisors (176390806487040).

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

48930228264960 is an equidigital number, since it uses as much as digits as its factorization.

48930228264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 48930228264960 in words is "forty-eight trillion, nine hundred thirty billion, two hundred twenty-eight million, two hundred sixty-four thousand, nine hundred sixty".