87254696448 has 160 divisors (see below), whose sum is σ = 264581190720. Its totient is φ = 28375326720.

The previous prime is 87254696429. The next prime is 87254696453. The reversal of 87254696448 is 84469645278.

87254696448 is a `hidden beast` number, since 8 + 72 + 5 + 469 + 64 + 48 = 666.

It is a super-2 number, since 2×87254696448² (a number of 23 digits) contains 22 as substring.

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, 489811 + ... + 643757.

It is an arithmetic number, because the mean of its divisors is an integer number (1653632442).

Almost surely, 2^87254696448 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 87254696448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132290595360).

87254696448 is an abundant number, since it is smaller than the sum of its proper divisors (177326494272).

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

87254696448 is a wasteful number, since it uses less digits than its factorization.

87254696448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154015 (or 153993 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 87254696448 in words is "eighty-seven billion, two hundred fifty-four million, six hundred ninety-six thousand, four hundred forty-eight".