90248846519040 has 288 divisors, whose sum is σ = 317968178572800. Its totient is φ = 21632681410560.

The previous prime is 90248846518981. The next prime is 90248846519099. The reversal of 90248846519040 is 4091564884209.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90248846518981) and next prime (90248846519099).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8243860 + ... + 15762579.

It is an arithmetic number, because the mean of its divisors is an integer number (1104056175600).

Almost surely, 2^{90248846519040} is an apocalyptic number.

It is an amenable number.

90248846519040 is an abundant number, since it is smaller than the sum of its proper divisors (227719332053760).

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

90248846519040 is a wasteful number, since it uses less digits than its factorization.

90248846519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24006563 (or 24006549 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 90248846519040 in words is "ninety trillion, two hundred forty-eight billion, eight hundred forty-six million, five hundred nineteen thousand, forty".