1456616978880 has 1008 divisors, whose sum is σ = 5863148015616. Its totient is φ = 305132728320.

The previous prime is 1456616978827. The next prime is 1456616978903. The reversal of 1456616978880 is 888796166541.

It is a super-2 number, since 2×1456616978880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 526423257 + ... + 526426023.

Almost surely, 2^{1456616978880} is an apocalyptic number.

1456616978880 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 1456616978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931574007808).

1456616978880 is an abundant number, since it is smaller than the sum of its proper divisors (4406531036736).

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

1456616978880 is a wasteful number, since it uses less digits than its factorization.

1456616978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 1456616978880 in words is "one trillion, four hundred fifty-six billion, six hundred sixteen million, nine hundred seventy-eight thousand, eight hundred eighty".