498947117760000 has 4800 divisors, whose sum is σ = 2345192898048000. Its totient is φ = 105199202304000.

The previous prime is 498947117759983. The next prime is 498947117760011. The reversal of 498947117760000 is 67711749894.

498947117760000 is a `hidden beast` number, since 4 + 9 + 8 + 9 + 4 + 7 + 1 + 17 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×498947117760000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 498947117760000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 346731839281 + ... + 346731840719.

It is an arithmetic number, because the mean of its divisors is an integer number (488581853760).

Almost surely, 2^{498947117760000} is an apocalyptic number.

498947117760000 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 498947117760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172596449024000).

498947117760000 is an abundant number, since it is smaller than the sum of its proper divisors (1846245780288000).

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

498947117760000 is an frugal number, since it uses more digits than its factorization.

498947117760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 498947117760000 in words is "four hundred ninety-eight trillion, nine hundred forty-seven billion, one hundred seventeen million, seven hundred sixty thousand".