1479602906496 has 3072 divisors, whose sum is σ = 6192930816000. Its totient is φ = 341596569600.

The previous prime is 1479602906489. The next prime is 1479602906497. The reversal of 1479602906496 is 6946092069741.

1479602906496 is a `hidden beast` number, since 14 + 7 + 9 + 602 + 9 + 0 + 6 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×1479602906496² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1479602906497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47729126001 + ... + 47729126031.

It is an arithmetic number, because the mean of its divisors is an integer number (2015928000).

Almost surely, 2^{1479602906496} is an apocalyptic number.

1479602906496 is a gapful number since it is divisible by the number (16) 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 1479602906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096465408000).

1479602906496 is an abundant number, since it is smaller than the sum of its proper divisors (4713327909504).

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

1479602906496 is a wasteful number, since it uses less digits than its factorization.

1479602906496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1479602906496 in words is "one trillion, four hundred seventy-nine billion, six hundred two million, nine hundred six thousand, four hundred ninety-six".