361494269136 has 1440 divisors, whose sum is σ = 1449964339200. Its totient is φ = 83215641600.

The previous prime is 361494269117. The next prime is 361494269273. The reversal of 361494269136 is 631962494163.

It is a happy number.

361494269136 is a `hidden beast` number, since 3 + 61 + 49 + 426 + 91 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2846411505 + ... + 2846411631.

It is an arithmetic number, because the mean of its divisors is an integer number (1006919680).

Almost surely, 2^361494269136 is an apocalyptic number.

361494269136 is a gapful number since it is divisible by the number (36) 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 361494269136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724982169600).

361494269136 is an abundant number, since it is smaller than the sum of its proper divisors (1088470070064).

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

361494269136 is a wasteful number, since it uses less digits than its factorization.

361494269136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 361494269136 in words is "three hundred sixty-one billion, four hundred ninety-four million, two hundred sixty-nine thousand, one hundred thirty-six".