45858254688 has 144 divisors (see below), whose sum is σ = 137711311920. Its totient is φ = 14435324928.

The previous prime is 45858254671. The next prime is 45858254759. The reversal of 45858254688 is 88645285854.

45858254688 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 8 + 2 + 546 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1721406 + ... + 1747842.

It is an arithmetic number, because the mean of its divisors is an integer number (956328555).

Almost surely, 2^45858254688 is an apocalyptic number.

45858254688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45858254688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68855655960).

45858254688 is an abundant number, since it is smaller than the sum of its proper divisors (91853057232).

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

45858254688 is a wasteful number, since it uses less digits than its factorization.

45858254688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26789 (or 26778 counting only the distinct ones).

The product of its digits is 98304000, while the sum is 63.

The spelling of 45858254688 in words is "forty-five billion, eight hundred fifty-eight million, two hundred fifty-four thousand, six hundred eighty-eight".