1492630164900 has 540 divisors, whose sum is σ = 5734757866068. Its totient is φ = 334730672640.

The previous prime is 1492630164887. The next prime is 1492630164913. The reversal of 1492630164900 is 94610362941.

1492630164900 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 630 + 1 + 6 + 4 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1492630164887) and next prime (1492630164913).

It can be written as a sum of positive squares in 6 ways, for example, as 54688628736 + 1437941536164 = 233856^2 + 1199142^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 21000222 + ... + 21071178.

Almost surely, 2^{1492630164900} is an apocalyptic number.

1492630164900 is a gapful number since it is divisible by the number (10) 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 1492630164900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867378933034).

1492630164900 is an abundant number, since it is smaller than the sum of its proper divisors (4242127701168).

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

1492630164900 is a wasteful number, since it uses less digits than its factorization.

1492630164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71050 (or 71027 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1492630164900 in words is "one trillion, four hundred ninety-two billion, six hundred thirty million, one hundred sixty-four thousand, nine hundred".