948977952000 has 1152 divisors, whose sum is σ = 3691271700480. Its totient is φ = 213995520000.

The previous prime is 948977951993. The next prime is 948977952037. The reversal of 948977952000 is 259779849.

It is a super-2 number, since 2×948977952000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 735071355 + ... + 735072645.

Almost surely, 2^948977952000 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 948977952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845635850240).

948977952000 is an abundant number, since it is smaller than the sum of its proper divisors (2742293748480).

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

948977952000 is a wasteful number, since it uses less digits than its factorization.

948977952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 948977952000 in words is "nine hundred forty-eight billion, nine hundred seventy-seven million, nine hundred fifty-two thousand".