3153452964480 has 1280 divisors, whose sum is σ = 13903268924160. Its totient is φ = 663286579200.

The previous prime is 3153452964449. The next prime is 3153452964523. The reversal of 3153452964480 is 844692543513.

It is a happy number.

3153452964480 is a `hidden beast` number, since 3 + 1 + 5 + 34 + 529 + 6 + 4 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1891692607 + ... + 1891694273.

It is an arithmetic number, because the mean of its divisors is an integer number (10861928847).

Almost surely, 2^{3153452964480} is an apocalyptic number.

3153452964480 is a gapful number since it is divisible by the number (30) 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 3153452964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951634462080).

3153452964480 is an abundant number, since it is smaller than the sum of its proper divisors (10749815959680).

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

3153452964480 is a wasteful number, since it uses less digits than its factorization.

3153452964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3153452964480 in words is "three trillion, one hundred fifty-three billion, four hundred fifty-two million, nine hundred sixty-four thousand, four hundred eighty".