17661464004096 has 320 divisors, whose sum is σ = 57155217546240. Its totient is φ = 5340378193920.

The previous prime is 17661464004073. The next prime is 17661464004101. The reversal of 17661464004096 is 69040046416671.

17661464004096 is a `hidden beast` number, since 1 + 7 + 6 + 6 + 146 + 400 + 4 + 0 + 96 = 666.

It is a super-4 number, since 4×17661464004096⁴ (a number of 54 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70280206 + ... + 70531058.

It is an arithmetic number, because the mean of its divisors is an integer number (178610054832).

Almost surely, 2^{17661464004096} is an apocalyptic number.

17661464004096 is a gapful number since it is divisible by the number (16) 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 17661464004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28577608773120).

17661464004096 is an abundant number, since it is smaller than the sum of its proper divisors (39493753542144).

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

17661464004096 is a wasteful number, since it uses less digits than its factorization.

17661464004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251354 (or 251332 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 17661464004096 in words is "seventeen trillion, six hundred sixty-one billion, four hundred sixty-four million, four thousand, ninety-six".