45971479008 has 288 divisors, whose sum is σ = 162716299200. Its totient is φ = 11987509248.

The previous prime is 45971479007. The next prime is 45971479019. The reversal of 45971479008 is 80097417954.

45971479008 is a `hidden beast` number, since 4 + 597 + 1 + 47 + 9 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45971479008² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45971479007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2322658 + ... + 2342366.

It is an arithmetic number, because the mean of its divisors is an integer number (564987150).

Almost surely, 2^45971479008 is an apocalyptic number.

45971479008 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 45971479008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81358149600).

45971479008 is an abundant number, since it is smaller than the sum of its proper divisors (116744820192).

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

45971479008 is a wasteful number, since it uses less digits than its factorization.

45971479008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19834 (or 19823 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 45971479008 in words is "forty-five billion, nine hundred seventy-one million, four hundred seventy-nine thousand, eight".