114332041355532 has 384 divisors, whose sum is σ = 358787078995968. Its totient is φ = 27366404428800.

The previous prime is 114332041355513. The next prime is 114332041355557. The reversal of 114332041355532 is 235553140233411.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 24656465518 + ... + 24656470154.

It is an arithmetic number, because the mean of its divisors is an integer number (934341351552).

Almost surely, 2^{114332041355532} is an apocalyptic number.

114332041355532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114332041355532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179393539497984).

114332041355532 is an abundant number, since it is smaller than the sum of its proper divisors (244455037640436).

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

114332041355532 is a wasteful number, since it uses less digits than its factorization.

114332041355532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 114332041355532 its reverse (235553140233411), we get a palindrome (349885181588943).

The spelling of 114332041355532 in words is "one hundred fourteen trillion, three hundred thirty-two billion, forty-one million, three hundred fifty-five thousand, five hundred thirty-two".