89408673939456 has 759 divisors, whose sum is σ = 283084557455991. Its totient is φ = 28234318086144.

The previous prime is 89408673939433. The next prime is 89408673939467. The reversal of 89408673939456 is 65493937680498.

The square root of 89408673939456 is 9455616.

It is a perfect power (a square), and thus also a powerful number.

89408673939456 is a `hidden beast` number, since 8 + 9 + 4 + 0 + 8 + 6 + 73 + 93 + 9 + 456 = 666.

It is a super-2 number, since 2×89408673939456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 4705719681015 + ... + 4705719681033.

Almost surely, 2^{89408673939456} is an apocalyptic number.

89408673939456 is the 9455616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89408673939456

89408673939456 is an abundant number, since it is smaller than the sum of its proper divisors (193675883516535).

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

89408673939456 is an frugal number, since it uses more digits than its factorization.

89408673939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

89408673939456 divided by its sum of digits (81) gives a square (1103810789376 = 1050624²).

The spelling of 89408673939456 in words is "eighty-nine trillion, four hundred eight billion, six hundred seventy-three million, nine hundred thirty-nine thousand, four hundred fifty-six".