45847437538000 has 320 divisors, whose sum is σ = 135292889272320. Its totient is φ = 14687495424000.

The previous prime is 45847437537901. The next prime is 45847437538003. The reversal of 45847437538000 is 83573474854.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45847437538003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10764634 + ... + 14407366.

It is an arithmetic number, because the mean of its divisors is an integer number (422790278976).

Almost surely, 2^{45847437538000} is an apocalyptic number.

45847437538000 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 45847437538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67646444636160).

45847437538000 is an abundant number, since it is smaller than the sum of its proper divisors (89445451734320).

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

45847437538000 is a wasteful number, since it uses less digits than its factorization.

45847437538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642823 (or 3642807 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 58.

The spelling of 45847437538000 in words is "forty-five trillion, eight hundred forty-seven billion, four hundred thirty-seven million, five hundred thirty-eight thousand".