1451950101900 has 252 divisors, whose sum is σ = 4929330825552. Its totient is φ = 370352062080.

The previous prime is 1451950101871. The next prime is 1451950101911. The reversal of 1451950101900 is 91010591541.

1451950101900 is a `hidden beast` number, since 1 + 4 + 519 + 50 + 1 + 0 + 1 + 90 + 0 = 666.

It is a super-2 number, since 2×1451950101900² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1243722 + ... + 2109678.

Almost surely, 2^{1451950101900} is an apocalyptic number.

1451950101900 is a gapful number since it is divisible by the number (10) 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 1451950101900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464665412776).

1451950101900 is an abundant number, since it is smaller than the sum of its proper divisors (3477380723652).

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

1451950101900 is a wasteful number, since it uses less digits than its factorization.

1451950101900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866012 (or 865990 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 1451950101900 in words is "one trillion, four hundred fifty-one billion, nine hundred fifty million, one hundred one thousand, nine hundred".