45877784645140 has 192 divisors, whose sum is σ = 120468944977920. Its totient is φ = 14311865272320.

The previous prime is 45877784645131. The next prime is 45877784645153. The reversal of 45877784645140 is 4154648777854.

It is a super-2 number, since 2×45877784645140² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 45877784645140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71023741 + ... + 71666779.

It is an arithmetic number, because the mean of its divisors is an integer number (627442421760).

Almost surely, 2^{45877784645140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45877784645140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60234472488960).

45877784645140 is an abundant number, since it is smaller than the sum of its proper divisors (74591160332780).

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

45877784645140 is a wasteful number, since it uses less digits than its factorization.

45877784645140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644070 (or 644068 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 70.

The spelling of 45877784645140 in words is "forty-five trillion, eight hundred seventy-seven billion, seven hundred eighty-four million, six hundred forty-five thousand, one hundred forty".