14057078867496 has 1024 divisors, whose sum is σ = 49812111360000. Its totient is φ = 3582452966400.

The previous prime is 14057078867479. The next prime is 14057078867543. The reversal of 14057078867496 is 69476887075041.

14057078867496 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 7 + 0 + 78 + 8 + 67 + 496 = 666.

It is a super-3 number, since 3×14057078867496³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 12675453790 + ... + 12675454898.

It is an arithmetic number, because the mean of its divisors is an integer number (48644640000).

Almost surely, 2^{14057078867496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14057078867496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906055680000).

14057078867496 is an abundant number, since it is smaller than the sum of its proper divisors (35755032492504).

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

14057078867496 is a wasteful number, since it uses less digits than its factorization.

14057078867496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 14057078867496 in words is "fourteen trillion, fifty-seven billion, seventy-eight million, eight hundred sixty-seven thousand, four hundred ninety-six".