498947468292000 has 3456 divisors, whose sum is σ = 2437081414709760. Its totient is φ = 93861819187200.

The previous prime is 498947468291999. The next prime is 498947468292011. The reversal of 498947468292000 is 292864749894.

498947468292000 is a `hidden beast` number, since 4 + 9 + 8 + 9 + 474 + 68 + 2 + 92 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×498947468292000² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 498947468292000.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17988502132 + ... + 17988529868.

It is an arithmetic number, because the mean of its divisors is an integer number (705174020460).

Almost surely, 2^{498947468292000} is an apocalyptic number.

498947468292000 is a gapful number since it is divisible by the number (40) 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 498947468292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218540707354880).

498947468292000 is an abundant number, since it is smaller than the sum of its proper divisors (1938133946417760).

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

498947468292000 is a wasteful number, since it uses less digits than its factorization.

498947468292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27841 (or 27803 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 498947468292000 in words is "four hundred ninety-eight trillion, nine hundred forty-seven billion, four hundred sixty-eight million, two hundred ninety-two thousand".