84438267324000 has 96 divisors (see below), whose sum is σ = 276619763792736. Its totient is φ = 22516871283200.

The previous prime is 84438267323989. The next prime is 84438267324023. The reversal of 84438267324000 is 42376283448.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84438267324000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3518249139 + ... + 3518273138.

It is an arithmetic number, because the mean of its divisors is an integer number (2881455872841).

Almost surely, 2^{84438267324000} is an apocalyptic number.

84438267324000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84438267324000 is an abundant number, since it is smaller than the sum of its proper divisors (192181496468736).

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

84438267324000 is a wasteful number, since it uses less digits than its factorization.

84438267324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036522305 (or 7036522287 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 84438267324000 in words is "eighty-four trillion, four hundred thirty-eight billion, two hundred sixty-seven million, three hundred twenty-four thousand".