1142906388624 has 1215 divisors, whose sum is σ = 4478879354859. Its totient is φ = 270944593920.

The previous prime is 1142906388607. The next prime is 1142906388647. The reversal of 1142906388624 is 4268836092411.

The square root of 1142906388624 is 1069068.

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

1142906388624 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 9 + 0 + 6 + 3 + 8 + 8 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 499651059600 + 643255329024 = 706860^2 + 802032^2 .

It is a super-2 number, since 2×1142906388624² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 12841644772 + ... + 12841644860.

Almost surely, 2^{1142906388624} is an apocalyptic number.

1142906388624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1142906388624 is the 1069068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142906388624

1142906388624 is an abundant number, since it is smaller than the sum of its proper divisors (3335972966235).

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

1142906388624 is a wasteful number, since it uses less digits than its factorization.

1142906388624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1142906388624 in words is "one trillion, one hundred forty-two billion, nine hundred six million, three hundred eighty-eight thousand, six hundred twenty-four".