48902271264 has 1440 divisors, whose sum is σ = 202725452160. Its totient is φ = 11379916800.

The previous prime is 48902271263. The next prime is 48902271329. The reversal of 48902271264 is 46217220984.

It is not an unprimeable number, because it can be changed into a prime (48902271263) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 688764349 + ... + 688764419.

It is an arithmetic number, because the mean of its divisors is an integer number (140781564).

Almost surely, 2^48902271264 is an apocalyptic number.

48902271264 is a gapful number since it is divisible by the number (44) 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 48902271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101362726080).

48902271264 is an abundant number, since it is smaller than the sum of its proper divisors (153823180896).

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

48902271264 is a wasteful number, since it uses less digits than its factorization.

48902271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48902271264 in words is "forty-eight billion, nine hundred two million, two hundred seventy-one thousand, two hundred sixty-four".