45191307744 has 72 divisors (see below), whose sum is σ = 140195771352. Its totient is φ = 13694334720.

The previous prime is 45191307743. The next prime is 45191307769. The reversal of 45191307744 is 44770319154.

It is a happy number.

45191307744 is a `hidden beast` number, since 451 + 91 + 3 + 0 + 77 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×45191307744² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45191307744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45191307743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7129299 + ... + 7135634.

It is an arithmetic number, because the mean of its divisors is an integer number (1947163491).

Almost surely, 2^45191307744 is an apocalyptic number.

45191307744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45191307744 is an abundant number, since it is smaller than the sum of its proper divisors (95004463608).

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

45191307744 is a wasteful number, since it uses less digits than its factorization.

45191307744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14264960 (or 14264949 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 45191307744 in words is "forty-five billion, one hundred ninety-one million, three hundred seven thousand, seven hundred forty-four".