64197111536100 has 243 divisors, whose sum is σ = 202024847344593. Its totient is φ = 17051221255680.

The previous prime is 64197111536087. The next prime is 64197111536137. The reversal of 64197111536100 is 163511179146.

The square root of 64197111536100 is 8012310.

It is a perfect power (a square), and thus also a powerful number.

64197111536100 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 7 + 1 + 1 + 1 + 536 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 28020062386404 + 36177049149696 = 5293398^2 + 6014736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98311043374 + ... + 98311044026.

Almost surely, 2^{64197111536100} is an apocalyptic number.

64197111536100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

64197111536100 is the 8012310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64197111536100

64197111536100 is an abundant number, since it is smaller than the sum of its proper divisors (137827735808493).

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

64197111536100 is an equidigital number, since it uses as much as digits as its factorization.

64197111536100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 64197111536100 in words is "sixty-four trillion, one hundred ninety-seven billion, one hundred eleven million, five hundred thirty-six thousand, one hundred".