33145747491456 has 192 divisors, whose sum is σ = 97707317760000. Its totient is φ = 10781884753920.

The previous prime is 33145747491431. The next prime is 33145747491469. The reversal of 33145747491456 is 65419474754133.

33145747491456 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 57 + 47 + 4 + 91 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33145747491393 and 33145747491402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7067545 + ... + 10781543.

It is an arithmetic number, because the mean of its divisors is an integer number (508892280000).

Almost surely, 2^{33145747491456} is an apocalyptic number.

33145747491456 is a gapful number since it is divisible by the number (36) 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 33145747491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48853658880000).

33145747491456 is an abundant number, since it is smaller than the sum of its proper divisors (64561570268544).

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

33145747491456 is a wasteful number, since it uses less digits than its factorization.

33145747491456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714207 (or 3714192 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 33145747491456 in words is "thirty-three trillion, one hundred forty-five billion, seven hundred forty-seven million, four hundred ninety-one thousand, four hundred fifty-six".