1918073291904 has 1152 divisors, whose sum is σ = 7313918976000. Its totient is φ = 494765107200.

The previous prime is 1918073291879. The next prime is 1918073291921. The reversal of 1918073291904 is 4091923708191.

1918073291904 is a `hidden beast` number, since 191 + 80 + 7 + 3 + 291 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3202125397 + ... + 3202125995.

It is an arithmetic number, because the mean of its divisors is an integer number (6348888000).

Almost surely, 2^{1918073291904} is an apocalyptic number.

1918073291904 is a gapful number since it is divisible by the number (14) 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 1918073291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656959488000).

1918073291904 is an abundant number, since it is smaller than the sum of its proper divisors (5395845684096).

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

1918073291904 is a wasteful number, since it uses less digits than its factorization.

1918073291904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1918073291904 in words is "one trillion, nine hundred eighteen billion, seventy-three million, two hundred ninety-one thousand, nine hundred four".