45919223750400 has 1728 divisors, whose sum is σ = 203814635028480. Its totient is φ = 8792786534400.

The previous prime is 45919223750363. The next prime is 45919223750453. The reversal of 45919223750400 is 405732291954.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13818603139 + ... + 13818606461.

It is an arithmetic number, because the mean of its divisors is an integer number (117948284160).

Almost surely, 2^{45919223750400} is an apocalyptic number.

45919223750400 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 45919223750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101907317514240).

45919223750400 is an abundant number, since it is smaller than the sum of its proper divisors (157895411278080).

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

45919223750400 is a wasteful number, since it uses less digits than its factorization.

45919223750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 45919223750400 in words is "forty-five trillion, nine hundred nineteen billion, two hundred twenty-three million, seven hundred fifty thousand, four hundred".