11346742000 has 80 divisors (see below), whose sum is σ = 29930700384. Its totient is φ = 4126080000.

The previous prime is 11346741977. The next prime is 11346742009. The reversal of 11346742000 is 24764311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11346742000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11346742009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235881 + ... + 279880.

Almost surely, 2^11346742000 is an apocalyptic number.

11346742000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11346742000 is an abundant number, since it is smaller than the sum of its proper divisors (18583958384).

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

11346742000 is a wasteful number, since it uses less digits than its factorization.

11346742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515795 (or 515779 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 11346742000 in words is "eleven billion, three hundred forty-six million, seven hundred forty-two thousand".