45736189696512 has 480 divisors, whose sum is σ = 155779186827264. Its totient is φ = 12641213030400.

The previous prime is 45736189696487. The next prime is 45736189696523. The reversal of 45736189696512 is 21569698163754.

It is a happy number.

45736189696512 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 6 + 18 + 9 + 6 + 96 + 512 = 666.

It is a super-2 number, since 2×45736189696512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3306781437 + ... + 3306795267.

Almost surely, 2^{45736189696512} is an apocalyptic number.

45736189696512 is a gapful number since it is divisible by the number (42) 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 45736189696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77889593413632).

45736189696512 is an abundant number, since it is smaller than the sum of its proper divisors (110042997130752).

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

45736189696512 is a wasteful number, since it uses less digits than its factorization.

45736189696512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17200 (or 17181 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 45736189696512 in words is "forty-five trillion, seven hundred thirty-six billion, one hundred eighty-nine million, six hundred ninety-six thousand, five hundred twelve".