1048364419032 has 256 divisors, whose sum is σ = 3464856576000. Its totient is φ = 287360027136.

The previous prime is 1048364419027. The next prime is 1048364419043. The reversal of 1048364419032 is 2309144638401.

1048364419032 is a `hidden beast` number, since 10 + 4 + 83 + 6 + 441 + 90 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6807993 + ... + 6960279.

It is an arithmetic number, because the mean of its divisors is an integer number (13534596000).

Almost surely, 2^{1048364419032} is an apocalyptic number.

1048364419032 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 1048364419032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732428288000).

1048364419032 is an abundant number, since it is smaller than the sum of its proper divisors (2416492156968).

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

1048364419032 is a wasteful number, since it uses less digits than its factorization.

1048364419032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152495 (or 152485 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1048364419032 in words is "one trillion, forty-eight billion, three hundred sixty-four million, four hundred nineteen thousand, thirty-two".