45701364740000 has 240 divisors, whose sum is σ = 115507759885056. Its totient is φ = 17780803200000.

The previous prime is 45701364739993. The next prime is 45701364740063. The reversal of 45701364740000 is 4746310754.

It is a super-2 number, since 2×45701364740000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45701364740000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2894132105 + ... + 2894147895.

Almost surely, 2^{45701364740000} is an apocalyptic number.

45701364740000 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 45701364740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57753879942528).

45701364740000 is an abundant number, since it is smaller than the sum of its proper divisors (69806395145056).

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

45701364740000 is a wasteful number, since it uses less digits than its factorization.

45701364740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19769 (or 19746 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 45701364740000 in words is "forty-five trillion, seven hundred one billion, three hundred sixty-four million, seven hundred forty thousand".