87436514484 has 288 divisors, whose sum is σ = 252160376832. Its totient is φ = 25316928000.

The previous prime is 87436514461. The next prime is 87436514507. The reversal of 87436514484 is 48441563478.

87436514484 is a `hidden beast` number, since 8 + 7 + 43 + 6 + 514 + 4 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (87436514461) and next prime (87436514507).

It is a super-2 number, since 2×87436514484² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87436514484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167824144 + ... + 167824664.

It is an arithmetic number, because the mean of its divisors is an integer number (875556864).

Almost surely, 2^87436514484 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 87436514484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126080188416).

87436514484 is an abundant number, since it is smaller than the sum of its proper divisors (164723862348).

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

87436514484 is a wasteful number, since it uses less digits than its factorization.

87436514484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 782 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 87436514484 in words is "eighty-seven billion, four hundred thirty-six million, five hundred fourteen thousand, four hundred eighty-four".