901114578045 has 384 divisors, whose sum is σ = 1970391121920. Its totient is φ = 375072768000.

The previous prime is 901114578029. The next prime is 901114578061. The reversal of 901114578045 is 540875411109.

901114578045 is a `hidden beast` number, since 9 + 0 + 111 + 457 + 80 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (901114578029) and next prime (901114578061).

It is not a de Polignac number, because 901114578045 - 2⁴ = 901114578029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1392757912 + ... + 1392758558.

It is an arithmetic number, because the mean of its divisors is an integer number (5131226880).

Almost surely, 2^901114578045 is an apocalyptic number.

901114578045 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

901114578045 is an abundant number, since it is smaller than the sum of its proper divisors (1069276543875).

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

901114578045 is a wasteful number, since it uses less digits than its factorization.

901114578045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 901114578045 in words is "nine hundred one billion, one hundred fourteen million, five hundred seventy-eight thousand, forty-five".