87362445916944 has 225 divisors, whose sum is σ = 277940297637079. Its totient is φ = 26472346845120.

The previous prime is 87362445916937. The next prime is 87362445916961. The reversal of 87362445916944 is 44961954426378.

The square root of 87362445916944 is 9346788.

It is a perfect power (a square), and thus also a powerful number.

87362445916944 is a `hidden beast` number, since 8 + 7 + 3 + 6 + 2 + 4 + 459 + 169 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3701316247 + ... + 3701339849.

Almost surely, 2^{87362445916944} is an apocalyptic number.

87362445916944 is the 9346788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87362445916944

87362445916944 is an abundant number, since it is smaller than the sum of its proper divisors (190577851720135).

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

87362445916944 is an frugal number, since it uses more digits than its factorization.

87362445916944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47248 (or 23619 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 87362445916944 in words is "eighty-seven trillion, three hundred sixty-two billion, four hundred forty-five million, nine hundred sixteen thousand, nine hundred forty-four".