1472014975104 has 160 divisors (see below), whose sum is σ = 4387222711740. Its totient is φ = 489940254720.

The previous prime is 1472014975103. The next prime is 1472014975169. The reversal of 1472014975104 is 4015794102741.

1472014975104 is a `hidden beast` number, since 1 + 47 + 2 + 0 + 1 + 4 + 97 + 510 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1422485582400 + 49529392704 = 1192680^2 + 222552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1472014975104.

It is not an unprimeable number, because it can be changed into a prime (1472014975103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6872184 + ... + 7083144.

Almost surely, 2^{1472014975104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1472014975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193611355870).

1472014975104 is an abundant number, since it is smaller than the sum of its proper divisors (2915207736636).

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

1472014975104 is an equidigital number, since it uses as much as digits as its factorization.

1472014975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211660 (or 211639 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1472014975104 in words is "one trillion, four hundred seventy-two billion, fourteen million, nine hundred seventy-five thousand, one hundred four".