164557498613760 has 1656 divisors, whose sum is σ = 689225399422560. Its totient is φ = 37556066451456.

The previous prime is 164557498613741. The next prime is 164557498613773. The reversal of 164557498613760 is 67316894755461.

164557498613760 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 5 + 7 + 498 + 61 + 3 + 76 + 0 = 666.

It is a super-2 number, since 2×164557498613760² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249707888311 + ... + 249707888969.

Almost surely, 2^{164557498613760} is an apocalyptic number.

164557498613760 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 164557498613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344612699711280).

164557498613760 is an abundant number, since it is smaller than the sum of its proper divisors (524667900808800).

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

164557498613760 is an frugal number, since it uses more digits than its factorization.

164557498613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 164557498613760 in words is "one hundred sixty-four trillion, five hundred fifty-seven billion, four hundred ninety-eight million, six hundred thirteen thousand, seven hundred sixty".