45364734804480 has 1280 divisors, whose sum is σ = 184519965966336. Its totient is φ = 9249171701760.

The previous prime is 45364734804457. The next prime is 45364734804497. The reversal of 45364734804480 is 8440843746354.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22380233227 + ... + 22380235253.

Almost surely, 2^{45364734804480} is an apocalyptic number.

45364734804480 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 45364734804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92259982983168).

45364734804480 is an abundant number, since it is smaller than the sum of its proper divisors (139155231161856).

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

45364734804480 is a wasteful number, since it uses less digits than its factorization.

45364734804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 60.

The spelling of 45364734804480 in words is "forty-five trillion, three hundred sixty-four billion, seven hundred thirty-four million, eight hundred four thousand, four hundred eighty".