90685151424 has 504 divisors, whose sum is σ = 329679696240. Its totient is φ = 24288768000.

The previous prime is 90685151371. The next prime is 90685151437. The reversal of 90685151424 is 42415158609.

90685151424 is a `hidden beast` number, since 9 + 0 + 68 + 51 + 514 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 90685151424.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361295299 + ... + 361295549.

Almost surely, 2^90685151424 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 90685151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164839848120).

90685151424 is an abundant number, since it is smaller than the sum of its proper divisors (238994544816).

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

90685151424 is a wasteful number, since it uses less digits than its factorization.

90685151424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 90685151424 in words is "ninety billion, six hundred eighty-five million, one hundred fifty-one thousand, four hundred twenty-four".