114069191040 has 192 divisors, whose sum is σ = 450166073760. Its totient is φ = 26072948736.

The previous prime is 114069191029. The next prime is 114069191051. The reversal of 114069191040 is 40191960411.

It is an interprime number because it is at equal distance from previous prime (114069191029) and next prime (114069191051).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114069190986 and 114069191004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374229 + ... + 1454868.

Almost surely, 2^114069191040 is an apocalyptic number.

114069191040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114069191040 is an abundant number, since it is smaller than the sum of its proper divisors (336096882720).

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

114069191040 is a wasteful number, since it uses less digits than its factorization.

114069191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829129 (or 2829114 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 114069191040 in words is "one hundred fourteen billion, sixty-nine million, one hundred ninety-one thousand, forty".