45215127654400 has 312 divisors, whose sum is σ = 123276020972544. Its totient is φ = 16312349491200.

The previous prime is 45215127654373. The next prime is 45215127654401. The reversal of 45215127654400 is 445672151254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45215127654401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142894764 + ... + 143210836.

Almost surely, 2^{45215127654400} is an apocalyptic number.

45215127654400 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 45215127654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61638010486272).

45215127654400 is an abundant number, since it is smaller than the sum of its proper divisors (78060893318144).

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

45215127654400 is a wasteful number, since it uses less digits than its factorization.

45215127654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316245 (or 316218 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 46.

The spelling of 45215127654400 in words is "forty-five trillion, two hundred fifteen billion, one hundred twenty-seven million, six hundred fifty-four thousand, four hundred".