45872738408448 has 480 divisors, whose sum is σ = 157335470772480. Its totient is φ = 13044310917120.

The previous prime is 45872738408401. The next prime is 45872738408533. The reversal of 45872738408448 is 84480483727854.

45872738408448 is a `hidden beast` number, since 4 + 5 + 8 + 72 + 73 + 8 + 40 + 8 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244922965 + ... + 245110187.

It is an arithmetic number, because the mean of its divisors is an integer number (327782230776).

Almost surely, 2^{45872738408448} is an apocalyptic number.

45872738408448 is a gapful number since it is divisible by the number (48) 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 45872738408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78667735386240).

45872738408448 is an abundant number, since it is smaller than the sum of its proper divisors (111462732364032).

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

45872738408448 is a wasteful number, since it uses less digits than its factorization.

45872738408448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187475 (or 187446 counting only the distinct ones).

The product of its (nonzero) digits is 1541406720, while the sum is 72.

The spelling of 45872738408448 in words is "forty-five trillion, eight hundred seventy-two billion, seven hundred thirty-eight million, four hundred eight thousand, four hundred forty-eight".