628148211201 has 48 divisors (see below), whose sum is σ = 1084349851200. Its totient is φ = 358336089216.

The previous prime is 628148211191. The next prime is 628148211259. The reversal of 628148211201 is 102112841826.

628148211201 is a `hidden beast` number, since 62 + 8 + 1 + 482 + 112 + 0 + 1 = 666.

It is not a de Polignac number, because 628148211201 - 2⁶ = 628148211137 is a prime.

It is a super-2 number, since 2×628148211201² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (628148211601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384210 + ... + 1184868.

It is an arithmetic number, because the mean of its divisors is an integer number (22590621900).

Almost surely, 2^628148211201 is an apocalyptic number.

It is an amenable number.

628148211201 is a deficient number, since it is larger than the sum of its proper divisors (456201639999).

628148211201 is a wasteful number, since it uses less digits than its factorization.

628148211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801275 (or 801262 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 628148211201 in words is "six hundred twenty-eight billion, one hundred forty-eight million, two hundred eleven thousand, two hundred one".