368949504000 has 1536 divisors, whose sum is σ = 1624912773120. Its totient is φ = 71958528000.

The previous prime is 368949503971. The next prime is 368949504019. The reversal of 368949504000 is 405949863.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×368949504000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1005311817 + ... + 1005312183.

It is an arithmetic number, because the mean of its divisors is an integer number (1057885920).

Almost surely, 2^368949504000 is an apocalyptic number.

368949504000 is a gapful number since it is divisible by the number (30) 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 368949504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812456386560).

368949504000 is an abundant number, since it is smaller than the sum of its proper divisors (1255963269120).

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

368949504000 is a wasteful number, since it uses less digits than its factorization.

368949504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 368949504000 in words is "three hundred sixty-eight billion, nine hundred forty-nine million, five hundred four thousand".