4531132311354 has 288 divisors, whose sum is σ = 11708380232640. Its totient is φ = 1261053826560.

The previous prime is 4531132311263. The next prime is 4531132311367.

4531132311354 is a `hidden beast` number, since 4 + 5 + 311 + 323 + 1 + 13 + 5 + 4 = 666.

4531132311354 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4531132311354³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 433305694 + ... + 433316150.

It is an arithmetic number, because the mean of its divisors is an integer number (40654098030).

Almost surely, 2^{4531132311354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4531132311354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854190116320).

4531132311354 is an abundant number, since it is smaller than the sum of its proper divisors (7177247921286).

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

4531132311354 is a wasteful number, since it uses less digits than its factorization.

4531132311354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10826 (or 10812 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 4531132311354 in words is "four trillion, five hundred thirty-one billion, one hundred thirty-two million, three hundred eleven thousand, three hundred fifty-four".