628311101145 has 128 divisors (see below), whose sum is σ = 1242831765504. Its totient is φ = 263949041664.

The previous prime is 628311101113. The next prime is 628311101191. The reversal of 628311101145 is 541101113826.

It is not a de Polignac number, because 628311101145 - 2⁵ = 628311101113 is a prime.

It is a super-2 number, since 2×628311101145² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 364660254 + ... + 364661976.

It is an arithmetic number, because the mean of its divisors is an integer number (9709623168).

Almost surely, 2^628311101145 is an apocalyptic number.

628311101145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

628311101145 is a deficient number, since it is larger than the sum of its proper divisors (614520664359).

628311101145 is a wasteful number, since it uses less digits than its factorization.

628311101145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791.

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 628311101145 in words is "six hundred twenty-eight billion, three hundred eleven million, one hundred one thousand, one hundred forty-five".