89354939552064 has 672 divisors, whose sum is σ = 280757274074880. Its totient is φ = 27839747174400.

The previous prime is 89354939552063. The next prime is 89354939552077. The reversal of 89354939552064 is 46025593945398.

89354939552064 is a `hidden beast` number, since 8 + 9 + 3 + 5 + 4 + 9 + 3 + 9 + 552 + 0 + 64 = 666.

It is a super-2 number, since 2×89354939552064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89354939551983 and 89354939552001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89354939552063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7211271309 + ... + 7211283699.

Almost surely, 2^{89354939552064} 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 89354939552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140378637037440).

89354939552064 is an abundant number, since it is smaller than the sum of its proper divisors (191402334522816).

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

89354939552064 is a wasteful number, since it uses less digits than its factorization.

89354939552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 1259712000, while the sum is 72.

The spelling of 89354939552064 in words is "eighty-nine trillion, three hundred fifty-four billion, nine hundred thirty-nine million, five hundred fifty-two thousand, sixty-four".