45614294880000 has 1440 divisors, whose sum is σ = 195661610242560. Its totient is φ = 9151242240000.

The previous prime is 45614294879977. The next prime is 45614294880107. The reversal of 45614294880000 is 8849241654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1071818722 + ... + 1071861278.

It is an arithmetic number, because the mean of its divisors is an integer number (135876118224).

Almost surely, 2^{45614294880000} is an apocalyptic number.

45614294880000 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 45614294880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97830805121280).

45614294880000 is an abundant number, since it is smaller than the sum of its proper divisors (150047315362560).

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

45614294880000 is a wasteful number, since it uses less digits than its factorization.

45614294880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42643 (or 42614 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 45614294880000 in words is "forty-five trillion, six hundred fourteen billion, two hundred ninety-four million, eight hundred eighty thousand".