450540061001415 has 96 divisors (see below), whose sum is σ = 1030907250487296. Its totient is φ = 176223461575680.

The previous prime is 450540061001399. The next prime is 450540061001423. The reversal of 450540061001415 is 514100160045054.

450540061001415 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 400 + 6 + 100 + 141 + 5 = 666.

It is not a de Polignac number, because 450540061001415 - 2⁴ = 450540061001399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 450540061001415.

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, 3824234967 + ... + 3824352776.

It is an arithmetic number, because the mean of its divisors is an integer number (10738617192576).

Almost surely, 2^{450540061001415} is an apocalyptic number.

450540061001415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450540061001415 is an abundant number, since it is smaller than the sum of its proper divisors (580367189485881).

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

450540061001415 is a wasteful number, since it uses less digits than its factorization.

450540061001415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648587789 (or 7648587786 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 450540061001415 in words is "four hundred fifty trillion, five hundred forty billion, sixty-one million, one thousand, four hundred fifteen".