1032148649760 has 192 divisors, whose sum is σ = 3298346231040. Its totient is φ = 271274065920.

The previous prime is 1032148649759. The next prime is 1032148649771. The reversal of 1032148649760 is 679468412301.

It is a happy number.

It is a super-2 number, since 2×1032148649760² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13332765 + ... + 13409955.

It is an arithmetic number, because the mean of its divisors is an integer number (17178886620).

Almost surely, 2^{1032148649760} is an apocalyptic number.

1032148649760 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 1032148649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649173115520).

1032148649760 is an abundant number, since it is smaller than the sum of its proper divisors (2266197581280).

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

1032148649760 is a wasteful number, since it uses less digits than its factorization.

1032148649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77611 (or 77603 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 1032148649760 in words is "one trillion, thirty-two billion, one hundred forty-eight million, six hundred forty-nine thousand, seven hundred sixty".