45205274312640 has 336 divisors, whose sum is σ = 168514439122848. Its totient is φ = 11056575209472.

The previous prime is 45205274312579. The next prime is 45205274312677. The reversal of 45205274312640 is 4621347250254.

45205274312640 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 5 + 274 + 312 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2032839 + ... + 9723321.

It is an arithmetic number, because the mean of its divisors is an integer number (501531068818).

Almost surely, 2^{45205274312640} is an apocalyptic number.

45205274312640 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 45205274312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84257219561424).

45205274312640 is an abundant number, since it is smaller than the sum of its proper divisors (123309164810208).

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

45205274312640 is a wasteful number, since it uses less digits than its factorization.

45205274312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690676 (or 7690663 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 45205274312640 in words is "forty-five trillion, two hundred five billion, two hundred seventy-four million, three hundred twelve thousand, six hundred forty".