45752418279680 has 288 divisors, whose sum is σ = 131855471784960. Its totient is φ = 14859102412800.

The previous prime is 45752418279649. The next prime is 45752418279697. The reversal of 45752418279680 is 8697281425754.

It is a super-2 number, since 2×45752418279680² (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 45752418279680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2401566155 + ... + 2401585205.

Almost surely, 2^{45752418279680} is an apocalyptic number.

45752418279680 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 45752418279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65927735892480).

45752418279680 is an abundant number, since it is smaller than the sum of its proper divisors (86103053505280).

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

45752418279680 is a wasteful number, since it uses less digits than its factorization.

45752418279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33205 (or 33191 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 68.

The spelling of 45752418279680 in words is "forty-five trillion, seven hundred fifty-two billion, four hundred eighteen million, two hundred seventy-nine thousand, six hundred eighty".