1468537452900 has 432 divisors, whose sum is σ = 5541184230400. Its totient is φ = 324835660800.

The previous prime is 1468537452839. The next prime is 1468537452911. The reversal of 1468537452900 is 92547358641.

It is a happy number.

1468537452900 is a `hidden beast` number, since 1 + 4 + 6 + 85 + 37 + 4 + 529 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9492972 + ... + 9646428.

It is a 1-persistent number, because it is pandigital, but 2⋅1468537452900 = 2937074905800 is not.

Almost surely, 2^{1468537452900} is an apocalyptic number.

1468537452900 is a gapful number since it is divisible by the number (10) 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 1468537452900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770592115200).

1468537452900 is an abundant number, since it is smaller than the sum of its proper divisors (4072646777500).

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

1468537452900 is a wasteful number, since it uses less digits than its factorization.

1468537452900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153529 (or 153505 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1468537452900 in words is "one trillion, four hundred sixty-eight billion, five hundred thirty-seven million, four hundred fifty-two thousand, nine hundred".