45106976250270 has 256 divisors, whose sum is σ = 134593508736000. Its totient is φ = 10656693066240.

The previous prime is 45106976250257. The next prime is 45106976250277. The reversal of 45106976250270 is 7205267960154.

It is a happy number.

45106976250270 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 6 + 9 + 7 + 62 + 502 + 70 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45106976250277) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22492489 + ... + 24415691.

It is an arithmetic number, because the mean of its divisors is an integer number (525755893500).

Almost surely, 2^{45106976250270} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106976250270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67296754368000).

45106976250270 is an abundant number, since it is smaller than the sum of its proper divisors (89486532485730).

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

45106976250270 is a wasteful number, since it uses less digits than its factorization.

45106976250270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923432 (or 1923426 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 45106976250270 in words is "forty-five trillion, one hundred six billion, nine hundred seventy-six million, two hundred fifty thousand, two hundred seventy".