1373248501632 has 1024 divisors, whose sum is σ = 5118474240000. Its totient is φ = 353590272000.

The previous prime is 1373248501609. The next prime is 1373248501637. The reversal of 1373248501632 is 2361058423731.

1373248501632 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 2 + 4 + 8 + 5 + 0 + 1 + 632 = 666.

It is a super-2 number, since 2×1373248501632² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1373248501637) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 946414507 + ... + 946415957.

It is an arithmetic number, because the mean of its divisors is an integer number (4998510000).

Almost surely, 2^{1373248501632} is an apocalyptic number.

1373248501632 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 1373248501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559237120000).

1373248501632 is an abundant number, since it is smaller than the sum of its proper divisors (3745225738368).

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

1373248501632 is a wasteful number, since it uses less digits than its factorization.

1373248501632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1373248501632 in words is "one trillion, three hundred seventy-three billion, two hundred forty-eight million, five hundred one thousand, six hundred thirty-two".