1472281434624 has 2560 divisors, whose sum is σ = 6082170716160. Its totient is φ = 303641395200.

The previous prime is 1472281434619. The next prime is 1472281434649. The reversal of 1472281434624 is 4264341822741.

It is a happy number.

It is a super-2 number, since 2×1472281434624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18636473817 + ... + 18636473895.

It is an arithmetic number, because the mean of its divisors is an integer number (2375847936).

Almost surely, 2^{1472281434624} is an apocalyptic number.

1472281434624 is a gapful number since it is divisible by the number (14) 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 1472281434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041085358080).

1472281434624 is an abundant number, since it is smaller than the sum of its proper divisors (4609889281536).

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

1472281434624 is a wasteful number, since it uses less digits than its factorization.

1472281434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The spelling of 1472281434624 in words is "one trillion, four hundred seventy-two billion, two hundred eighty-one million, four hundred thirty-four thousand, six hundred twenty-four".