1364146060500 has 144 divisors (see below), whose sum is σ = 4314163548240. Its totient is φ = 362864640000.

The previous prime is 1364146060493. The next prime is 1364146060517. The reversal of 1364146060500 is 50606414631.

It is a happy number.

1364146060500 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 1 + 46 + 0 + 605 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1108490436 + 1363037570064 = 33294^2 + 1167492^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1426516 + ... + 2182484.

It is an arithmetic number, because the mean of its divisors is an integer number (29959469085).

Almost surely, 2^{1364146060500} is an apocalyptic number.

1364146060500 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 1364146060500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157081774120).

1364146060500 is an abundant number, since it is smaller than the sum of its proper divisors (2950017487740).

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

1364146060500 is a wasteful number, since it uses less digits than its factorization.

1364146060500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756395 (or 756380 counting only the distinct ones).

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

The spelling of 1364146060500 in words is "one trillion, three hundred sixty-four billion, one hundred forty-six million, sixty thousand, five hundred".