45088017249600 has 2688 divisors, whose sum is σ = 194415031641600. Its totient is φ = 10061571686400.

The previous prime is 45088017249559. The next prime is 45088017249631. The reversal of 45088017249600 is 694271088054.

It is a happy number.

45088017249600 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 8 + 0 + 1 + 7 + 24 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 38503857015 + ... + 38503858185.

It is an arithmetic number, because the mean of its divisors is an integer number (72327020700).

Almost surely, 2^{45088017249600} is an apocalyptic number.

45088017249600 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 45088017249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97207515820800).

45088017249600 is an abundant number, since it is smaller than the sum of its proper divisors (149327014392000).

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

45088017249600 is a wasteful number, since it uses less digits than its factorization.

45088017249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 45088017249600 in words is "forty-five trillion, eighty-eight billion, seventeen million, two hundred forty-nine thousand, six hundred".