36466541100 has 216 divisors, whose sum is σ = 124949627712. Its totient is φ = 8822217600.

The previous prime is 36466541077. The next prime is 36466541123. The reversal of 36466541100 is 114566463.

It is a happy number.

36466541100 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 6 + 541 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (36466541077) and next prime (36466541123).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5174179 + ... + 5181221.

Almost surely, 2^36466541100 is an apocalyptic number.

36466541100 is a gapful number since it is divisible by the number (30) 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 36466541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62474813856).

36466541100 is an abundant number, since it is smaller than the sum of its proper divisors (88483086612).

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

36466541100 is a wasteful number, since it uses less digits than its factorization.

36466541100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36466541100 in words is "thirty-six billion, four hundred sixty-six million, five hundred forty-one thousand, one hundred".