164415615540000 has 720 divisors, whose sum is σ = 596581941219264. Its totient is φ = 39604181760000.

The previous prime is 164415615539951. The next prime is 164415615540013. The reversal of 164415615540000 is 45516514461.

It is a super-3 number, since 3×164415615540000³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1139747877 + ... + 1139892123.

Almost surely, 2^{164415615540000} is an apocalyptic number.

164415615540000 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 164415615540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298290970609632).

164415615540000 is an abundant number, since it is smaller than the sum of its proper divisors (432166325679264).

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

164415615540000 is a wasteful number, since it uses less digits than its factorization.

164415615540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144459 (or 144425 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 164415615540000 in words is "one hundred sixty-four trillion, four hundred fifteen billion, six hundred fifteen million, five hundred forty thousand".