45153013041504 has 192 divisors, whose sum is σ = 132879897722880. Its totient is φ = 14915771136000.

The previous prime is 45153013041497. The next prime is 45153013041517. The reversal of 45153013041504 is 40514031035154.

45153013041504 is a `hidden beast` number, since 4 + 5 + 1 + 530 + 1 + 30 + 41 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824670129 + ... + 824724879.

It is an arithmetic number, because the mean of its divisors is an integer number (692082800640).

Almost surely, 2^{45153013041504} 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 45153013041504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66439948861440).

45153013041504 is an abundant number, since it is smaller than the sum of its proper divisors (87726884681376).

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

45153013041504 is a wasteful number, since it uses less digits than its factorization.

45153013041504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63330 (or 63316 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 45153013041504 its reverse (40514031035154), we get a palindrome (85667044076658).

The spelling of 45153013041504 in words is "forty-five trillion, one hundred fifty-three billion, thirteen million, forty-one thousand, five hundred four".