1491148071936 has 220 divisors, whose sum is σ = 4456865016780. Its totient is φ = 496602316800.

The previous prime is 1491148071883. The next prime is 1491148071983. The reversal of 1491148071936 is 6391708411941.

It is a happy number.

1491148071936 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 1 + 480 + 71 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2123366400 + 1489024705536 = 46080^2 + 1220256^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99608260 + ... + 99623228.

It is an arithmetic number, because the mean of its divisors is an integer number (20258477349).

Almost surely, 2^{1491148071936} is an apocalyptic number.

1491148071936 is a gapful number since it is divisible by the number (16) 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 1491148071936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228432508390).

1491148071936 is an abundant number, since it is smaller than the sum of its proper divisors (2965716944844).

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

1491148071936 is a wasteful number, since it uses less digits than its factorization.

1491148071936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16202 (or 16175 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1491148071936 in words is "one trillion, four hundred ninety-one billion, one hundred forty-eight million, seventy-one thousand, nine hundred thirty-six".