142849804792464 has 800 divisors, whose sum is σ = 535479299131392. Its totient is φ = 35688957696000.

The previous prime is 142849804792421. The next prime is 142849804792483. The reversal of 142849804792464 is 464297408948241.

It is a happy number.

142849804792464 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 4 + 98 + 0 + 4 + 79 + 2 + 464 = 666.

It is a super-2 number, since 2×142849804792464² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 142849804792392 and 142849804792401.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 290248639 + ... + 290740385.

Almost surely, 2^{142849804792464} is an apocalyptic number.

142849804792464 is a gapful number since it is divisible by the number (14) 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 142849804792464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267739649565696).

142849804792464 is an abundant number, since it is smaller than the sum of its proper divisors (392629494338928).

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

142849804792464 is a wasteful number, since it uses less digits than its factorization.

142849804792464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491897 (or 491882 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 142849804792464 in words is "one hundred forty-two trillion, eight hundred forty-nine billion, eight hundred four million, seven hundred ninety-two thousand, four hundred sixty-four".