45151513104000 has 256 divisors, whose sum is σ = 149693649730560. Its totient is φ = 12039085568000.

The previous prime is 45151513103953. The next prime is 45151513104031. The reversal of 45151513104000 is 40131515154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486337585 + ... + 486430415.

It is an arithmetic number, because the mean of its divisors is an integer number (584740819260).

Almost surely, 2^{45151513104000} is an apocalyptic number.

45151513104000 is a gapful number since it is divisible by the number (40) 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 45151513104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74846824865280).

45151513104000 is an abundant number, since it is smaller than the sum of its proper divisors (104542136626560).

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

45151513104000 is a wasteful number, since it uses less digits than its factorization.

45151513104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102996 (or 102974 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 45151513104000 its reverse (40131515154), we get a palindrome (45191644619154).

The spelling of 45151513104000 in words is "forty-five trillion, one hundred fifty-one billion, five hundred thirteen million, one hundred four thousand".