45414551151504 has 240 divisors, whose sum is σ = 131676822810624. Its totient is φ = 14600472652800.

The previous prime is 45414551151499. The next prime is 45414551151553. The reversal of 45414551151504 is 40515115541454.

It is a happy number.

45414551151504 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 45 + 51 + 1 + 51 + 504 = 666.

It is a super-2 number, since 2×45414551151504² (a number of 28 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 45414551151504.

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, 299842737 + ... + 299994159.

Almost surely, 2^{45414551151504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45414551151504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65838411405312).

45414551151504 is an abundant number, since it is smaller than the sum of its proper divisors (86262271659120).

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

45414551151504 is a wasteful number, since it uses less digits than its factorization.

45414551151504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151966 (or 151957 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

Adding to 45414551151504 its reverse (40515115541454), we get a palindrome (85929666692958).

The spelling of 45414551151504 in words is "forty-five trillion, four hundred fourteen billion, five hundred fifty-one million, one hundred fifty-one thousand, five hundred four".