366142464 has 352 divisors, whose sum is σ = 1238025600. Its totient is φ = 106168320.

The previous prime is 366142453. The next prime is 366142493. The reversal of 366142464 is 464241663.

366142464 is a `hidden beast` number, since 36 + 614 + 2 + 4 + 6 + 4 = 666.

It is a super-3 number, since 3×366142464³ (a number of 27 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8930284 + ... + 8930324.

Almost surely, 2^366142464 is an apocalyptic number.

366142464 is a gapful number since it is divisible by the number (34) 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 366142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619012800).

366142464 is an abundant number, since it is smaller than the sum of its proper divisors (871883136).

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

366142464 is a wasteful number, since it uses less digits than its factorization.

366142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 366142464 is about 19134.8494637402. The cubic root of 366142464 is about 715.4018078314.

The spelling of 366142464 in words is "three hundred sixty-six million, one hundred forty-two thousand, four hundred sixty-four".