45082379502720 has 1536 divisors, whose sum is σ = 196270221312000. Its totient is φ = 9731422052352.

The previous prime is 45082379502637. The next prime is 45082379502737. The reversal of 45082379502720 is 2720597328054.

45082379502720 is a `hidden beast` number, since 4 + 5 + 0 + 82 + 37 + 9 + 502 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1538475589 + ... + 1538504891.

It is an arithmetic number, because the mean of its divisors is an integer number (127780092000).

Almost surely, 2^{45082379502720} is an apocalyptic number.

45082379502720 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 45082379502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98135110656000).

45082379502720 is an abundant number, since it is smaller than the sum of its proper divisors (151187841809280).

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

45082379502720 is a wasteful number, since it uses less digits than its factorization.

45082379502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29447 (or 29422 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 45082379502720 in words is "forty-five trillion, eighty-two billion, three hundred seventy-nine million, five hundred two thousand, seven hundred twenty".