1491956466336 has 288 divisors, whose sum is σ = 5105771798400. Its totient is φ = 403702548480.

The previous prime is 1491956466313. The next prime is 1491956466337. The reversal of 1491956466336 is 6336646591941.

It is a happy number.

1491956466336 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 9 + 564 + 6 + 63 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1491956466337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176998570 + ... + 177006998.

It is an arithmetic number, because the mean of its divisors is an integer number (17728374300).

Almost surely, 2^{1491956466336} is an apocalyptic number.

1491956466336 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 1491956466336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552885899200).

1491956466336 is an abundant number, since it is smaller than the sum of its proper divisors (3613815332064).

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

1491956466336 is a wasteful number, since it uses less digits than its factorization.

1491956466336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13092 (or 13081 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 1491956466336 in words is "one trillion, four hundred ninety-one billion, nine hundred fifty-six million, four hundred sixty-six thousand, three hundred thirty-six".