450723290688000 has 480 divisors, whose sum is σ = 1771004514831552. Its totient is φ = 109266250752000.

The previous prime is 450723290687963. The next prime is 450723290688019. The reversal of 450723290688000 is 886092327054.

450723290688000 is a `hidden beast` number, since 450 + 7 + 23 + 2 + 90 + 6 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29232442 + ... + 41904441.

Almost surely, 2^{450723290688000} is an apocalyptic number.

450723290688000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450723290688000 is an abundant number, since it is smaller than the sum of its proper divisors (1320281224143552).

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

450723290688000 is a wasteful number, since it uses less digits than its factorization.

450723290688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71136933 (or 71136904 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 450723290688000 in words is "four hundred fifty trillion, seven hundred twenty-three billion, two hundred ninety million, six hundred eighty-eight thousand".