45971112768 has 224 divisors, whose sum is σ = 147474432000. Its totient is φ = 12337668096.

The previous prime is 45971112763. The next prime is 45971112787. The reversal of 45971112768 is 86721117954.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×45971112768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 45971112768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45971112763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13684273 + ... + 13687631.

It is an arithmetic number, because the mean of its divisors is an integer number (658368000).

Almost surely, 2^45971112768 is an apocalyptic number.

45971112768 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 45971112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216000).

45971112768 is an abundant number, since it is smaller than the sum of its proper divisors (101503319232).

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

45971112768 is a wasteful number, since it uses less digits than its factorization.

45971112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3987 counting only the distinct ones).

The product of its digits is 846720, while the sum is 51.

The spelling of 45971112768 in words is "forty-five billion, nine hundred seventy-one million, one hundred twelve thousand, seven hundred sixty-eight".