1348521873930 has 768 divisors, whose sum is σ = 4872006144000. Its totient is φ = 261687283200.

The previous prime is 1348521873889. The next prime is 1348521873947. The reversal of 1348521873930 is 393781258431.

1348521873930 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 521 + 87 + 3 + 9 + 30 = 666.

It is a super-2 number, since 2×1348521873930² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 196316536 + ... + 196323404.

It is an arithmetic number, because the mean of its divisors is an integer number (6343758000).

Almost surely, 2^{1348521873930} is an apocalyptic number.

1348521873930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348521873930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436003072000).

1348521873930 is an abundant number, since it is smaller than the sum of its proper divisors (3523484270070).

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

1348521873930 is a wasteful number, since it uses less digits than its factorization.

1348521873930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1348521873930 in words is "one trillion, three hundred forty-eight billion, five hundred twenty-one million, eight hundred seventy-three thousand, nine hundred thirty".