16900948131840 has 768 divisors, whose sum is σ = 64335661266240. Its totient is φ = 4241636720640.

The previous prime is 16900948131787. The next prime is 16900948131973. The reversal of 16900948131840 is 4813184900961.

16900948131840 is a `hidden beast` number, since 1 + 6 + 90 + 0 + 9 + 481 + 31 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676810555 + ... + 676835525.

Almost surely, 2^{16900948131840} is an apocalyptic number.

16900948131840 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 16900948131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32167830633120).

16900948131840 is an abundant number, since it is smaller than the sum of its proper divisors (47434713134400).

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

16900948131840 is an frugal number, since it uses more digits than its factorization.

16900948131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25038 (or 24998 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 16900948131840 in words is "sixteen trillion, nine hundred billion, nine hundred forty-eight million, one hundred thirty-one thousand, eight hundred forty".