142584780816 has 225 divisors, whose sum is σ = 439096744999. Its totient is φ = 44659980288.

The previous prime is 142584780781. The next prime is 142584780851. The reversal of 142584780816 is 618087485241.

The square root of 142584780816 is 377604.

It is a perfect power (a square), and thus also a powerful number.

142584780816 is a `hidden beast` number, since 1 + 42 + 58 + 478 + 0 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (142584780781) and next prime (142584780851).

It can be written as a sum of positive squares in 4 ways, for example, as 14019507216 + 128565273600 = 118404^2 + 358560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 231093340 + ... + 231093956.

Almost surely, 2^142584780816 is an apocalyptic number.

142584780816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142584780816 is the 377604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142584780816

142584780816 is an abundant number, since it is smaller than the sum of its proper divisors (296511964183).

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

142584780816 is an frugal number, since it uses more digits than its factorization.

142584780816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 142584780816 in words is "one hundred forty-two billion, five hundred eighty-four million, seven hundred eighty thousand, eight hundred sixteen".