296314872000 has 448 divisors, whose sum is σ = 1145507650560. Its totient is φ = 66075648000.

The previous prime is 296314871977. The next prime is 296314872023. The reversal of 296314872000 is 278413692.

It is an interprime number because it is at equal distance from previous prime (296314871977) and next prime (296314872023).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6866491 + ... + 6909509.

It is an arithmetic number, because the mean of its divisors is an integer number (2556936720).

Almost surely, 2^296314872000 is an apocalyptic number.

296314872000 is a gapful number since it is divisible by the number (20) 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 296314872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572753825280).

296314872000 is an abundant number, since it is smaller than the sum of its proper divisors (849192778560).

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

296314872000 is a wasteful number, since it uses less digits than its factorization.

296314872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43097 (or 43077 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 296314872000 in words is "two hundred ninety-six billion, three hundred fourteen million, eight hundred seventy-two thousand".