87813975249 has 432 divisors, whose sum is σ = 189343125504. Its totient is φ = 38029305600.

The previous prime is 87813975233. The next prime is 87813975257. The reversal of 87813975249 is 94257931878.

87813975249 is a `hidden beast` number, since 8 + 7 + 8 + 13 + 97 + 524 + 9 = 666.

It is not a de Polignac number, because 87813975249 - 2⁴ = 87813975233 is a prime.

It is a super-2 number, since 2×87813975249² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (87813975209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1310656314 + ... + 1310656380.

It is an arithmetic number, because the mean of its divisors is an integer number (438294272).

Almost surely, 2^87813975249 is an apocalyptic number.

It is an amenable number.

87813975249 is an abundant number, since it is smaller than the sum of its proper divisors (101529150255).

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

87813975249 is a wasteful number, since it uses less digits than its factorization.

87813975249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 87813975249 in words is "eighty-seven billion, eight hundred thirteen million, nine hundred seventy-five thousand, two hundred forty-nine".