45267475968 has 800 divisors, whose sum is σ = 168443906400. Its totient is φ = 11890851840.

The previous prime is 45267475943. The next prime is 45267475969. The reversal of 45267475968 is 86957476254.

45267475968 is a `hidden beast` number, since 4 + 526 + 7 + 47 + 5 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45267475969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100818208 + ... + 100818656.

It is an arithmetic number, because the mean of its divisors is an integer number (210554883).

Almost surely, 2^45267475968 is an apocalyptic number.

45267475968 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 45267475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84221953200).

45267475968 is an abundant number, since it is smaller than the sum of its proper divisors (123176430432).

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

45267475968 is a wasteful number, since it uses less digits than its factorization.

45267475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 495 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 45267475968 in words is "forty-five billion, two hundred sixty-seven million, four hundred seventy-five thousand, nine hundred sixty-eight".