1467008856480 has 192 divisors, whose sum is σ = 4833798923520. Its totient is φ = 373277515776.

The previous prime is 1467008856461. The next prime is 1467008856529. The reversal of 1467008856480 is 846588007641.

It is a super-2 number, since 2×1467008856480² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1467008856480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4352914 + ... + 4677806.

It is an arithmetic number, because the mean of its divisors is an integer number (25176036060).

Almost surely, 2^{1467008856480} is an apocalyptic number.

1467008856480 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 1467008856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416899461760).

1467008856480 is an abundant number, since it is smaller than the sum of its proper divisors (3366790067040).

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

1467008856480 is a wasteful number, since it uses less digits than its factorization.

1467008856480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325343 (or 325335 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 1467008856480 in words is "one trillion, four hundred sixty-seven billion, eight million, eight hundred fifty-six thousand, four hundred eighty".