88494063834240 has 384 divisors, whose sum is σ = 334713549596400. Its totient is φ = 21444402610176.

The previous prime is 88494063834217. The next prime is 88494063834247. The reversal of 88494063834240 is 4243836049488.

88494063834240 is a `hidden beast` number, since 8 + 8 + 4 + 9 + 4 + 0 + 6 + 383 + 4 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44926777129536 + 43567286704704 = 6702744^2 + 6600552^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (88494063834247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12742017 + ... + 18421376.

Almost surely, 2^{88494063834240} is an apocalyptic number.

88494063834240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88494063834240 is an abundant number, since it is smaller than the sum of its proper divisors (246219485762160).

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

88494063834240 is a wasteful number, since it uses less digits than its factorization.

88494063834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31163464 (or 31163449 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 88494063834240 in words is "eighty-eight trillion, four hundred ninety-four billion, sixty-three million, eight hundred thirty-four thousand, two hundred forty".