114253555300542 has 384 divisors, whose sum is σ = 314739277332480. Its totient is φ = 29215450656000.

The previous prime is 114253555300457. The next prime is 114253555300567. The reversal of 114253555300542 is 245003555352411.

114253555300542 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 3 + 55 + 53 + 0 + 0 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6162201792 + ... + 6162220332.

It is an arithmetic number, because the mean of its divisors is an integer number (819633534720).

Almost surely, 2^{114253555300542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114253555300542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157369638666240).

114253555300542 is an abundant number, since it is smaller than the sum of its proper divisors (200485722031938).

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

114253555300542 is a wasteful number, since it uses less digits than its factorization.

114253555300542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20580 (or 20577 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 114253555300542 in words is "one hundred fourteen trillion, two hundred fifty-three billion, five hundred fifty-five million, three hundred thousand, five hundred forty-two".