1348651628100 has 216 divisors, whose sum is σ = 5010102680128. Its totient is φ = 308263190400.

The previous prime is 1348651628083. The next prime is 1348651628143. The reversal of 1348651628100 is 18261568431.

1348651628100 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 6 + 5 + 1 + 628 + 10 + 0 = 666.

It is a super-3 number, since 3×1348651628100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3794191 + ... + 4134390.

Almost surely, 2^{1348651628100} is an apocalyptic number.

1348651628100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348651628100 is an abundant number, since it is smaller than the sum of its proper divisors (3661451052028).

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

1348651628100 is a wasteful number, since it uses less digits than its factorization.

1348651628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928617 (or 7928598 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1348651628100 in words is "one trillion, three hundred forty-eight billion, six hundred fifty-one million, six hundred twenty-eight thousand, one hundred".