1463403826332 has 384 divisors, whose sum is σ = 4701915187200. Its totient is φ = 384681830400.

The previous prime is 1463403826309. The next prime is 1463403826349. The reversal of 1463403826332 is 2336283043641.

1463403826332 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 4 + 0 + 3 + 8 + 2 + 633 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38633082 + ... + 38670942.

It is an arithmetic number, because the mean of its divisors is an integer number (12244570800).

Almost surely, 2^{1463403826332} is an apocalyptic number.

1463403826332 is a gapful number since it is divisible by the number (12) 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 1463403826332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350957593600).

1463403826332 is an abundant number, since it is smaller than the sum of its proper divisors (3238511360868).

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

1463403826332 is a wasteful number, since it uses less digits than its factorization.

1463403826332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37994 (or 37986 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

Adding to 1463403826332 its reverse (2336283043641), we get a palindrome (3799686869973).

The spelling of 1463403826332 in words is "one trillion, four hundred sixty-three billion, four hundred three million, eight hundred twenty-six thousand, three hundred thirty-two".