31005400345542 has 256 divisors, whose sum is σ = 81020639232000. Its totient is φ = 8785085571360.

The previous prime is 31005400345453. The next prime is 31005400345583. The reversal of 31005400345542 is 24554300450013.

31005400345542 is a `hidden beast` number, since 3 + 100 + 5 + 4 + 0 + 0 + 3 + 4 + 5 + 542 = 666.

It is a super-3 number, since 3×31005400345542³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31005400345497 and 31005400345506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1409902167 + ... + 1409924157.

It is an arithmetic number, because the mean of its divisors is an integer number (316486872000).

Almost surely, 2^{31005400345542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31005400345542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40510319616000).

31005400345542 is an abundant number, since it is smaller than the sum of its proper divisors (50015238886458).

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

31005400345542 is a wasteful number, since it uses less digits than its factorization.

31005400345542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22653 (or 22633 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 31005400345542 its reverse (24554300450013), we get a palindrome (55559700795555).

The spelling of 31005400345542 in words is "thirty-one trillion, five billion, four hundred million, three hundred forty-five thousand, five hundred forty-two".