361142496 has 384 divisors, whose sum is σ = 1287014400. Its totient is φ = 97044480.

The previous prime is 361142489. The next prime is 361142531. The reversal of 361142496 is 694241163.

It is a super-2 number, since 2×361142496² = 260847804834220032, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 361142496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4571385 + ... + 4571463.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^361142496 is an apocalyptic number.

361142496 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 361142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643507200).

361142496 is an abundant number, since it is smaller than the sum of its proper divisors (925871904).

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

361142496 is a wasteful number, since it uses less digits than its factorization.

361142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 361142496 is about 19003.7495247648. The cubic root of 361142496 is about 712.1304099804.

The spelling of 361142496 in words is "three hundred sixty-one million, one hundred forty-two thousand, four hundred ninety-six".