1145216511351 has 24 divisors (see below), whose sum is σ = 1899561680640. Its totient is φ = 657540579600.

The previous prime is 1145216511293. The next prime is 1145216511367. The reversal of 1145216511351 is 1531156125411.

1145216511351 is a `hidden beast` number, since 1 + 1 + 45 + 216 + 51 + 1 + 351 = 666.

It is not a de Polignac number, because 1145216511351 - 2⁶ = 1145216511287 is a prime.

It is a super-2 number, since 2×1145216511351² (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 (1145216511151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304415055 + ... + 304418816.

It is an arithmetic number, because the mean of its divisors is an integer number (79148403360).

Almost surely, 2^{1145216511351} is an apocalyptic number.

1145216511351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1145216511351 is a deficient number, since it is larger than the sum of its proper divisors (754345169289).

1145216511351 is a wasteful number, since it uses less digits than its factorization.

1145216511351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608833907 (or 608833904 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The spelling of 1145216511351 in words is "one trillion, one hundred forty-five billion, two hundred sixteen million, five hundred eleven thousand, three hundred fifty-one".