45374531348160 has 840 divisors, whose sum is σ = 187826058051984. Its totient is φ = 10367510630400.

The previous prime is 45374531348149. The next prime is 45374531348191. The reversal of 45374531348160 is 6184313547354.

45374531348160 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 4 + 531 + 3 + 48 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45374531348097 and 45374531348106.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4891073442 + ... + 4891082718.

Almost surely, 2^{45374531348160} is an apocalyptic number.

45374531348160 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 45374531348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93913029025992).

45374531348160 is an abundant number, since it is smaller than the sum of its proper divisors (142451526703824).

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

45374531348160 is a wasteful number, since it uses less digits than its factorization.

45374531348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13171 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 45374531348160 in words is "forty-five trillion, three hundred seventy-four billion, five hundred thirty-one million, three hundred forty-eight thousand, one hundred sixty".