1153948493511 has 32 divisors (see below), whose sum is σ = 1908338615040. Its totient is φ = 683098466400.

The previous prime is 1153948493507. The next prime is 1153948493519.

1153948493511 is a `hidden beast` number, since 1 + 1 + 5 + 39 + 4 + 8 + 4 + 93 + 511 = 666.

1153948493511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1153948493511 - 2² = 1153948493507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153948493519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45165700 + ... + 45191241.

It is an arithmetic number, because the mean of its divisors is an integer number (59635581720).

Almost surely, 2^{1153948493511} is an apocalyptic number.

1153948493511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1153948493511 is a deficient number, since it is larger than the sum of its proper divisors (754390121529).

1153948493511 is a wasteful number, since it uses less digits than its factorization.

1153948493511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90357004 (or 90356998 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 1153948493511 in words is "one trillion, one hundred fifty-three billion, nine hundred forty-eight million, four hundred ninety-three thousand, five hundred eleven".