45078414796800 has 4608 divisors, whose sum is σ = 224625623040000. Its totient is φ = 8575746048000.

The previous prime is 45078414796787. The next prime is 45078414796817. The reversal of 45078414796800 is 869741487054.

45078414796800 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 84 + 1 + 479 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 62695986841 + ... + 62695987559.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880000).

Almost surely, 2^{45078414796800} is an apocalyptic number.

45078414796800 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 45078414796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112312811520000).

45078414796800 is an abundant number, since it is smaller than the sum of its proper divisors (179547208243200).

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

45078414796800 is a wasteful number, since it uses less digits than its factorization.

45078414796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 45078414796800 in words is "forty-five trillion, seventy-eight billion, four hundred fourteen million, seven hundred ninety-six thousand, eight hundred".