1900151698432 has 264 divisors, whose sum is σ = 4338348113736. Its totient is φ = 826782253056.

The previous prime is 1900151698409. The next prime is 1900151698439. The reversal of 1900151698432 is 2348961510091.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 204072641536 + 1696079056896 = 451744^2 + 1302336^2 .

It is a super-2 number, since 2×1900151698432² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900151698439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119711408 + ... + 1119713104.

Almost surely, 2^{1900151698432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900151698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169174056868).

1900151698432 is an abundant number, since it is smaller than the sum of its proper divisors (2438196415304).

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

1900151698432 is a wasteful number, since it uses less digits than its factorization.

1900151698432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 1900151698432 in words is "one trillion, nine hundred billion, one hundred fifty-one million, six hundred ninety-eight thousand, four hundred thirty-two".