1491060788100 has 729 divisors, whose sum is σ = 5281619667597. Its totient is φ = 351673920000.

The previous prime is 1491060788003. The next prime is 1491060788179. The reversal of 1491060788100 is 18870601941.

It is a happy number.

The square root of 1491060788100 is 1221090.

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

1491060788100 is a `hidden beast` number, since 14 + 9 + 10 + 607 + 8 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 665826624324 + 825234163776 = 815982^2 + 908424^2 .

It is a super-2 number, since 2×1491060788100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14762978050 + ... + 14762978150.

Almost surely, 2^{1491060788100} is an apocalyptic number.

1491060788100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1491060788100 is the 1221090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1491060788100

1491060788100 is an abundant number, since it is smaller than the sum of its proper divisors (3790558879497).

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

1491060788100 is a wasteful number, since it uses less digits than its factorization.

1491060788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1491060788100 in words is "one trillion, four hundred ninety-one billion, sixty million, seven hundred eighty-eight thousand, one hundred".